I Question about Feynman’s path integrals

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In Feynman’s path integrals, the expression involves a product symbol, denoted as Π, which indicates a product over a range of values. The integral represents the sum over all possible paths between two points in quantum mechanics. Participants clarify that the product symbol is indeed used to denote multiplication across multiple terms, similar to how the summation symbol (Σ) is used for addition. The discussion emphasizes the importance of understanding these mathematical symbols in the context of quantum mechanics. Overall, the conversation highlights the significance of notation in comprehending Feynman’s path integral formulation.
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In Feynman’s path integrals, there is:

∫dq″Π0(t″,t′;q″,q′)=1

What is the funny pi looking symbol?
 
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For the quantum state ##|l,m\rangle= |2,0\rangle## the z-component of angular momentum is zero and ##|L^2|=6 \hbar^2##. According to uncertainty it is impossible to determine the values of ##L_x, L_y, L_z## simultaneously. However, we know that ##L_x## and ## L_y##, like ##L_z##, get the values ##(-2,-1,0,1,2) \hbar##. In other words, for the state ##|2,0\rangle## we have ##\vec{L}=(L_x, L_y,0)## with ##L_x## and ## L_y## one of the values ##(-2,-1,0,1,2) \hbar##. But none of these...

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